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Nonexistence of an integral of the 6th degree in momenta for the Zipoy-Voorhees metric

Boris S. Kruglikov* and Vladimir S. Matveev†

  • Department of Mathematics and Statistics, University of Tromsø, Tromsø 9037, Norway and Institute of Mathematics, Friedrich-Schiller-Universität, Jena 07737, Germany

  • *boris.kruglikov@uit.no
  • †vladimir.matveev@uni-jena.de
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Phys. Rev. D 85, 124057 – Published 26 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124057

Abstract

We prove the nonexistence of a nontrivial integral that is a polynomial in momenta of degree ≤6 for the Zipoy-Voorhees spacetime with the parameter δ=2.

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References (18)

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Outline

Information

Phys. Rev. D 85, 124057– Published 26 June, 2012
  • Received 20 November 2011

© 2012 American Physical Society

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